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How to determine if a polynomial is bounded from below?

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#polynomials #multivariate-polynomial
95
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Double zeros of a two variable polynomial encoded in a complex function

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#complex-analysis #polynomials #roots #multivariate-polynomial
163
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How to express cubic (and higher) forms in matrix-vector notation?

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#linear-algebra #reference-request #soft-question #tensors #multivariate-polynomial
459
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How many roots does a polynomial in 2 variables have?

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#linear-algebra #multivariable-calculus #polynomials #multivariate-polynomial
151
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Why homogeneity of an equation is preserved even when we change variables?

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#polynomials #systems-of-equations #multivariate-polynomial
130
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How to find roots of a system of multivariate polynomials?

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#systems-of-equations #roots #maple #groebner-basis #multivariate-polynomial
61
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Conditions for overdetermined system of homogeneous polynomials admit unique solution

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#algebraic-geometry #polynomials #multivariate-polynomial
97
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How to solve this system of multivariate polynomial equations for $0<x_7<x_6<x_8 \le 1$? Groebner basis maybe?

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#polynomials #systems-of-equations #roots #groebner-basis #multivariate-polynomial
148
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Factoring $x^2(y+z) + y^2(x+z) + z^2(x+y)$

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#algebra-precalculus #multivariate-polynomial
57
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Criterion for unicity and existence of pre-image in multivariate cryptography

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#polynomials #quadratic-forms #cryptography #multivariate-polynomial
37
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Homogeneous quadratic parts of polynomials in Unbalanced Oil and Vinegar

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#quadratic-forms #cryptography #multivariate-polynomial
20
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Efficiently finding a solution to the rainbow cryptosystem with quotient spaces

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#cryptography #quotient-spaces #multivariate-polynomial
62
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Characterization of irreducible multivariate polynomials over the complex numbers

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#abstract-algebra #complex-numbers #irreducible-polynomials #unique-factorization-domains #multivariate-polynomial
56
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Is there a general formula for factorizing multivariate complex polynomials?

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#abstract-algebra #complex-numbers #irreducible-polynomials #unique-factorization-domains #multivariate-polynomial
35
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Characterizing a complex multivariate polynomial by its zeroset

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#abstract-algebra #complex-numbers #roots #multivariate-polynomial

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